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Finding the Fourth Proportional to 37,982.04, 52,411.68 and 22,066.26

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Solution

The fourth proportional to 37,982.04, 52,411.68 and 22,066.26 is: 30,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982.04 : 52,411.68 = 22,066.26 : x
  2. Step 2: Convert to fraction form
    37,982.04/52,411.68 = 22,066.26/x
  3. Step 3: Cross multiply
    37,982.04x = 52,411.68 × 22,066.26
  4. Step 4: Simplify right side
    37,982.04x = 1,156,529,757.92
  5. Step 5: Solve for x
    x = 1,156,529,757.92/37,982.04
  6. Step 6: Final answer
    x = 30,449.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.